Research on Visualization in Learning and Teaching Mathematics: Emergence from Psychology

By N. Presmeg. 2006

366 citations recorded by the source corpus.

Subfields: Education, Information Systems

View Paper: https://www.semanticscholar.org/paper/e90bb8a9e2ac3c5833fab4f3257ea11bb99c58ff

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Citations in the corpus

ALGEBRAIC THINKING AND THE GENERALIZATION OF PATTERNS: A SEMIOTIC PERSPECTIVE (2006, background): “Gestures helped the students to visualize (Presmeg, 2006) and hereby came to fill the gap left by impossible direct perception.”
The Process of Probability Problem Solving: Use of External Visual Representations (2010, background): “…mental imagery is widely believed to play a role in mathematical reasoning (e.g., Hegarty & Kozhevnikov, 1999; Lean & Clements, 1981; Polya, 1957; Presmeg, 1986, 2006; Rival, 1987; Sfard, 1994), surprisingly little empirical evidence exists to support this idea (Campbell, Collis, & Watson, 1995;…”
The Enactive Roots of STEM: Rethinking Educational Design in Mathematics (2015, background): “ical visualization of mathematical displays (Presmeg 2006; Sfard 1994)—research without which we could not be asking our current questions—yet we seek to revisit the phenomenon”
Embodied design: constructing means for constructing meaning (2009, background): “…mentally simulated, or blended (Barsalou 2008; Collins & Ferguson 1993; Fauconnier & Turner 2002; Goldin 1987; Hutchins 2005; Kosslyn 2005; Presmeg 2006; Saxe 1981; Slobin 1996; Stetsenko 2002; Vygotsky 1978/1930); 1 It seems only a matter of difference in discursive norms of two…”
Visualisation and proof: a brief survey of philosophical perspectives (2007, background): “As examples one might cite the works summarized in Presmeg (2006) and in particular the work of Tall (2002), along with his papers of the last 20 years (listed in http://www.davidtall.com/).”
Geometrical representations in the learning of two-variable functions (2010, background): “Many research papers have studied students’ visualization problems and some literature reviews have been published (Bishop, 1980; Presmeg, 2006).”
PRESERVICE PRIMARY SCHOOL TEACHERS' ELEMENTARY GEOMETRY KNOWLEDGE (2012, background): “It develops students’ spatial ability, logical reasoning skills (French, 2004), and the ability to solve real-world problems in which geometrical terminology and properties occur (Jones & Mooney, 2003; Presmeg, 2006).”
Using diagrams as tools for the solution of non-routine mathematical problems (2009, background): “In support of this argument, many researchers refer to individuals’ representational preferences and cognitive styles (e.g., Schnotz, 2002; Presmeg, 2006).”
Recent research on geometry education: an ICME-13 survey team report (2016, background): “…of visual representations through the use of one strategy or more of the following strategies: learned pairings; manipulating corresponding iconic representations; associating with a relevant experience; and establishing relational structural similarities (Rivera 2011); see also Presmeg (2006).”